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Extensions 1→N→G→Q→1 with N=C5×C6.D4 and Q=C2

Direct product G=N×Q with N=C5×C6.D4 and Q=C2
dρLabelID
C10×C6.D4240C10xC6.D4480,831

Semidirect products G=N:Q with N=C5×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C6.D4)⋊1C2 = (C2×C6).D20φ: C2/C1 → C2 ⊆ Out C5×C6.D41204(C5xC6.D4):1C2480,71
(C5×C6.D4)⋊2C2 = C15⋊9(C23⋊C4)φ: C2/C1 → C2 ⊆ Out C5×C6.D41204(C5xC6.D4):2C2480,73
(C5×C6.D4)⋊3C2 = Dic15.19D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):3C2480,602
(C5×C6.D4)⋊4C2 = D30⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):4C2480,609
(C5×C6.D4)⋊5C2 = C6.(D4×D5)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):5C2480,610
(C5×C6.D4)⋊6C2 = C6.(C2×D20)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):6C2480,613
(C5×C6.D4)⋊7C2 = C6.D4⋊D5φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):7C2480,622
(C5×C6.D4)⋊8C2 = D5×C6.D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):8C2480,623
(C5×C6.D4)⋊9C2 = C23.17(S3×D5)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):9C2480,624
(C5×C6.D4)⋊10C2 = Dic15⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):10C2480,626
(C5×C6.D4)⋊11C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):11C2480,628
(C5×C6.D4)⋊12C2 = Dic15⋊16D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):12C2480,635
(C5×C6.D4)⋊13C2 = D30.45D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):13C2480,637
(C5×C6.D4)⋊14C2 = D30.16D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):14C2480,638
(C5×C6.D4)⋊15C2 = (C2×C6)⋊8D20φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):15C2480,640
(C5×C6.D4)⋊16C2 = D30⋊18D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):16C2480,648
(C5×C6.D4)⋊17C2 = C5×C23.6D6φ: C2/C1 → C2 ⊆ Out C5×C6.D41204(C5xC6.D4):17C2480,125
(C5×C6.D4)⋊18C2 = C5×C23.7D6φ: C2/C1 → C2 ⊆ Out C5×C6.D41204(C5xC6.D4):18C2480,153
(C5×C6.D4)⋊19C2 = C5×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):19C2480,759
(C5×C6.D4)⋊20C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):20C2480,762
(C5×C6.D4)⋊21C2 = C5×C23.11D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):21C2480,764
(C5×C6.D4)⋊22C2 = C5×C23.28D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):22C2480,808
(C5×C6.D4)⋊23C2 = C5×D4×Dic3φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):23C2480,813
(C5×C6.D4)⋊24C2 = C5×C23.23D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):24C2480,814
(C5×C6.D4)⋊25C2 = C5×C23.12D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):25C2480,815
(C5×C6.D4)⋊26C2 = C5×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):26C2480,816
(C5×C6.D4)⋊27C2 = C5×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):27C2480,817
(C5×C6.D4)⋊28C2 = C5×C23.14D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4):28C2480,818
(C5×C6.D4)⋊29C2 = C5×C24⋊4S3φ: C2/C1 → C2 ⊆ Out C5×C6.D4120(C5xC6.D4):29C2480,832
(C5×C6.D4)⋊30C2 = C20×C3⋊D4φ: trivial image240(C5xC6.D4):30C2480,807

Non-split extensions G=N.Q with N=C5×C6.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C6.D4).1C2 = (C6×Dic5)⋊7C4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).1C2480,604
(C5×C6.D4).2C2 = C23.13(S3×D5)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).2C2480,606
(C5×C6.D4).3C2 = C23.14(S3×D5)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).3C2480,607
(C5×C6.D4).4C2 = C23.48(S3×D5)φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).4C2480,608
(C5×C6.D4).5C2 = (C2×C30)⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).5C2480,650
(C5×C6.D4).6C2 = Dic15.48D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).6C2480,652
(C5×C6.D4).7C2 = C5×C23.16D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).7C2480,756
(C5×C6.D4).8C2 = C5×Dic3.D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).8C2480,757
(C5×C6.D4).9C2 = C5×C23.8D6φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).9C2480,758
(C5×C6.D4).10C2 = C5×C12.48D4φ: C2/C1 → C2 ⊆ Out C5×C6.D4240(C5xC6.D4).10C2480,803
(C5×C6.D4).11C2 = C5×C23.26D6φ: trivial image240(C5xC6.D4).11C2480,805

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